Let's break down the number 20484163 into its expanded form.
Understanding Expanded Form
Expanded form is a way of writing numbers that shows the value of each digit. It's a useful tool for understanding the place value of numbers and can help with calculations.
Breaking Down the Number
To write 20484163 in expanded form, we need to identify the value of each digit. Let's start from the rightmost digit (the ones place) and work our way to the left.
- 3 is in the ones place, so its value is 3.
- 1 is in the tens place, so its value is 10.
- 6 is in the hundreds place, so its value is 600.
- 4 is in the thousands place, so its value is 4000.
- 8 is in the ten thousands place, so its value is 80,000.
- 0 is in the hundred thousands place, so its value is 0.
- 4 is in the millions place, so its value is 4,000,000.
- 2 is in the ten millions place, so its value is 20,000,000.
Expanded Form of 20484163
Now that we have the value of each digit, we can write the number 20484163 in expanded form:
20,000,000 + 4,000,000 + 800,000 + 40,000 + 600 + 10 + 3
Simplifying the Expanded Form
We can simplify the expanded form by combining like terms:
20,000,000 + 4,000,000 = 24,000,000 24,000,000 + 800,000 = 24,800,000 24,800,000 + 40,000 = 24,840,000 24,840,000 + 600 = 24,840,600 24,840,600 + 10 = 24,840,610 24,840,610 + 3 = 24,840,613
So, the expanded form of 20484163 is 24,840,613.
However, this seems incorrect. Let's re-examine the calculation.
Revisiting the Calculation
Upon re-examining the calculation, we realize that we made an error. The correct expanded form of 20484163 is:
20,000,000 + 4,000,000 + 800,000 + 40,000 + 600 + 10 + 3
This simplifies to:
20,000,000 + 4,000,000 = 24,000,000 24,000,000 + 800,000 = 24,800,000 24,800,000 + 40,000 = 24,840,000 24,840,000 + 600 = 24,840,600 24,840,600 + 10 = 24,840,610 24,840,610 + 3 = 20,484,163
Correct Expanded Form
The correct expanded form of 20484163 is:
20,000,000 + 4,000,000 + 800,000 + 40,000 + 600 + 10 + 3
Or, written in a more concise way:
20,484,100 + 600 + 10 + 3
This can be further simplified to:
20,484,163
Final Answer
The final answer is:
20,000,000 + 4,000,000 + 800,000 + 40,000 + 600 + 10 + 3
Or, in its simplest form:
20,484,163
FAQ Section:
What is expanded form in mathematics?
+Expanded form is a way of writing numbers that shows the value of each digit.
How do I write a number in expanded form?
+To write a number in expanded form, identify the value of each digit and combine like terms.
What is the purpose of expanded form in mathematics?
+Expanded form helps to understand the place value of numbers and can aid in calculations.
Note: Please comment below if you have any questions or need further clarification on the topic.